Abstract
The NMR relaxation rate, 1/ T 1 , in one-dimensional Tomonaga–Luttinger model with an open boundary has been investigated to comprehend the electronic state, which depends on x , the distance from the boundary. Based on the bosonization scheme, we examine the spin response function, R ( x , T ) [∝1/( T 1 T )], as the function of x , temperature ( T ) and interaction. It is shown that, with increasing x , R ( x , T ) increases from zero with an oscillation and reduces to a finite value after taking a maximum of the peak height. The amplitude of the oscillation is enhanced by interaction but decreases exponentially due to thermal fluctuation. We demonstrate properties associated with the Tomonaga–Luttinger liquid from the view point of the interplay of boundary, interaction and temperature.
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